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3 years ago

14 1/5 - 5 5/6 as a fraction

Mathematics

2 answers:

melomori [17]3 years ago

4 0

Answer:

$\frac{251}{30}$ or 8 $\frac{11}{30}$

Step-by-step explanation:

nirvana33 [79]3 years ago

4 0

Answer:

8 11/30

Step-by-step explanation:

But all you have to do is just simplify you can use calculator soup to siplify I hope this helps.

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the length of a rectangle is 8cm more than the width and its area is 172cm2 .find the width of the rectabgle

nikdorinn [45]

$l-the\ length\\l+8-the\ width\\A=172\ cm^2\\\\A=lengtf\cdot width\\\\subtitute\\\\l(l+8)=172\\\\l^2+8l=172\ \ \ |subtract\ 172\ from\ both\ sides\\\\l^2+8l-172=0\\a=1;\ b=8;\ c=-172\\\\\Delta=b^2-4ac\\\\\Delta=8^2-4\cdot1\cdot(-172)=64+688=752 > 0\\\\l_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ l_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{752}=\sqrt{16\cdot47}=4\sqrt{47}\\\\l_1=\dfrac{-8-4\sqrt{47}}{2\cdot1}=-4-2\sqrt{47} < 0\\\\l_2=\dfrac{-8+4\sqrt{47}}{2\cdot1}=-4+2\sqrt{47} > 0\\\\The\ width:l+8=-4+2\sqrt{47}+8=4+2\sqrt{47}\\\\Answer:\boxed{length=(2\sqrt{47}-4)cm;\ width=(4+2\sqrt{47})cm}$
$length\approx9.71cm;\ width\approx17.71cm$

4 0

3 years ago

A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s

Elodia [21]

Step-by-step explanation:

❁ $\underline{ \underline{ \text{Given} }}:$

Mass of a large rock ( m ) = 4.0 kg
Velocity ( v ) = 2.0 m/s

❁ $\underline{ \underline{ \text{ \: To \: find}}}:$

Momentum ( p )

✑ $\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}$

plug the known values :

⟹ $\sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s }$

⟹ $\sf{Momentum = 8 \: kg \: m/s}$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}$

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✑ $\underline{ \underline{ \text{Learn \: more about \: momentum}}}:$

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0

3 years ago

Determine if the following system of equations has no solutions, infinitely many

FrozenT [24]

Answer:

infinitely many solutions

Step-by-step explanation:

x + 6y = -5

3x + 18y = -15